밀도 있는 오목, 알파밀!

2학기 공개수업을 준비하며 '밀도'단원에서 재미있게 활동할 수 있는 게임을 생각해봤습니다. 아이들이 두는 오목판에서 아이디어를 착안했습니다. 게임규칙은 '오목'과 같으며 반드시 가로선과 세로선의 교차점에 돌을 놓게 합니다. 게임이 끝나면 승자의 이름을 기록하고 돌이 놓아져 있는 칸의 테두리를 진한펜으로 표시하게 합니다. (아래 그림 참조) <img style="clear: none; float: none;" id="tx_entry_82396_" class="txc-image" border="0" hspace="1" vspace="1" src="https://t1.daumcdn.net/cfile/cafe/22491D435806CAB519" width="217" actualwidth="217" exif="{}" data-filename="알파밀.jpg" id="A_22491D435806CAB51943D6"/>  테두리의 안의 1칸은 부피 1을 의미하고, 돌 1개는 질량 1을 의미합니다. 자신의 오목게임 밀도를 계산하고 기록하게 합니다. 가장 '밀도 있게' 승리한 사람에게 간식을 제공합니다. ^^ 이름은 알파고의 '알파'와 밀도의 '밀'을 합성하여 '알파밀'이라 지었습니다. 추가적으로 게임이 끝나면 오목판에 돌을 1개씩 놓아가며 밀도를 계산하는 과정을 보여주면 결국 돌을 많이 놓은 조가 승리한다는 것을 깨닫게 됩니다.  <table style="border: currentColor; font-family: gulim; font-size: 9pt; border-collapse: collapse;" class="txc-table" border="0" cellSpacing="0" cellPadding="0" width="700"><tbody><tr><td style="border: 1px solid rgb(204, 204, 204); width: 100px; height: 24px;"></td><td style="width: 100px; height: 24px; border-top-color: rgb(204, 204, 204); border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-top-width: 1px; border-right-width: 1px; border-bottom-width: 1px; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;">1수</td><td style="width: 100px; height: 24px; border-top-color: rgb(204, 204, 204); border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-top-width: 1px; border-right-width: 1px; border-bottom-width: 1px; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;">2수 </td><td style="width: 100px; height: 24px; border-top-color: rgb(204, 204, 204); border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-top-width: 1px; border-right-width: 1px; border-bottom-width: 1px; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;">3수 </td><td style="width: 100px; height: 24px; border-top-color: rgb(204, 204, 204); border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-top-width: 1px; border-right-width: 1px; border-bottom-width: 1px; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;">4수 </td><td style="width: 100px; height: 24px; border-top-color: rgb(204, 204, 204); border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-top-width: 1px; border-right-width: 1px; border-bottom-width: 1px; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;">5수</td><td style="width: 100px; height: 24px; border-top-color: rgb(204, 204, 204); border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-top-width: 1px; border-right-width: 1px; border-bottom-width: 1px; border-top-style: solid; border-right-style: solid; border-bottom-style: solid;">... </td></tr><tr><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-left-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-left-width: 1px; border-right-style: solid; border-bottom-style: solid; border-left-style: solid;">질량 </td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;"> 1</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;">2 </td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;">3</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;">4</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;">5</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;">... </td></tr><tr><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-left-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-left-width: 1px; border-right-style: solid; border-bottom-style: solid; border-left-style: solid;">부피</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;"> 4</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;">6</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;">8 </td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;">10</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;">12</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;">... </td></tr><tr><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-left-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-left-width: 1px; border-right-style: solid; border-bottom-style: solid; border-left-style: solid;" rowSpan="1">밀도</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;" rowSpan="1"> 0.25</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;" rowSpan="1">0.33</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;" rowSpan="1">0.375 </td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;" rowSpan="1">0.4 </td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;" rowSpan="1"> 0.417</td><td style="width: 100px; height: 24px; border-right-color: rgb(204, 204, 204); border-bottom-color: rgb(204, 204, 204); border-right-width: 1px; border-bottom-width: 1px; border-right-style: solid; border-bottom-style: solid;" rowSpan="1"> </td></tr></tbody></table>  <img style="width: 252px; height: 617px; clear: none; float: none;" id="tx_entry_66463_" class="txc-image" border="0" hspace="1" vspace="1" src="https://t1.daumcdn.net/cfile/cafe/226DFD445806CBC81B" width="252" height="617" actualwidth="576" exif="{}" data-filename="20161019_101408.jpg" id="A_226DFD445806CBC81BC295"/><img style="width: 239px; height: 617px; clear: none; float: none;" id="tx_entry_84991_" class="txc-image" border="0" hspace="1" vspace="1" src="https://t1.daumcdn.net/cfile/cafe/237FFC445806CBC60D" width="239" height="617" actualwidth="576" exif="{}" data-filename="20161019_101305.jpg" id="A_237FFC445806CBC60DE5A4"/> <a href='javascript:fileFilterViewer("http://cfile275.uf.daum.net/attach/27102C4E5806CC7F0F36C9", "/cfile275/27/102C4E5806CC7F0F36C9", "알파밀 용지.hwp", "grpid%3D1UQ2e%26fldid%3DeTCP%26dataid%3D5%26fileid%3D1%26regdt%3D20161019102913&url=http%3A%2F%2Fcfile275.uf.daum.net%2Fattach%2F27102C4E5806CC7F0F36C9")'><img src="https://t1.daumcdn.net/daumtop_deco/icon/icon.hanmail.net/editor/p_etc_s.gif" border="0" alt="첨부파일" class="vam"/> 알파밀 용지.hwp</a>